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HELICOIDAL SURFACES OF THE THIRD FUNDAMENTAL FORM IN MINKOWSKI 3-SPACE

Authors
Choi, MiekyungYoon, Dae Won
Issue Date
2015
Publisher
KOREAN MATHEMATICAL SOC
Keywords
helicoidal surfaces; light-like axis; third fundamental form; Minkowski space
Citation
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.52, no.5, pp 1569 - 1578
Pages
10
Indexed
SCIE
SCOPUS
KCI
Journal Title
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
Volume
52
Number
5
Start Page
1569
End Page
1578
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/18572
DOI
10.4134/BKMS.2015.52.5.1569
ISSN
1015-8634
2234-3016
Abstract
We study helicoidal surfaces with the non-degenerate third fundamental form in Minkowski 3-space. In particular, we mainly focus on the study of helicoidal surfaces with light-like axis in Minkowski 3-space. As a result, we classify helicoidal surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third fundamental form on the surface.
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